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arXiv · 1909.10586

On some cryptographic properties of Boolean functions and their second-order derivatives

Augustine Musukwa·Massimiliano Sala·Marco Zaninelli
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Abstract

In this paper some cryptographic properties of Boolean functions, including weight, balancedness and nonlinearity, are studied, particularly focusing on splitting functions and cubic Boolean functions. Moreover, we present some quantities derived from the behaviour of second-order derivatives which allow us to determine whether a quadratic or cubic function is APN.

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Augustine Musukwa, Massimiliano Sala, Marco Zaninelli. 2019-09-23. On some cryptographic properties of Boolean functions and their second-order derivatives. https://doi.org/10.1007/s00009-024-02660-x

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